Turing Instability for the Schnackemberg System
, 2008 The linear stability-instability of the equilibrium state of the Schnackemberg system is studied.
GENTILE, MAURIZIO, TATARANNI, ASSUNTA
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Turing instability of a discrete competitive single diffusion-driven Lotka–Volterra model [PDF]
This paper develops a discrete competitive Lotka–Volterra system with single diffusion under Neumann boundary conditions. It establishes the conditions for Turing instability and identifies the precise Turing bifurcation when the diffusion coefficient is
Yan, Yubin, Zhang, Guang, Wen, Mingyao
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Turing instability mechanism of short-memory formation in multilayer FitzHugh-Nagumo network. [PDF]
Front Psychiatry, 2023 Wang J, Shen J.
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Turing instability in discrete replicator systems
, 2011 When analyzing a discrete reaction-diffusion dynamical system, one primary area of interest is locating where in the parameter space Turing instabilities occur.
Bryce, Alex
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Turing instability in an economic-demographic dynamical system may lead to pattern formation on a geographical scale. [PDF]
J R Soc Interface, 2021 Zincenko A +3 more
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Turing pattern dynamics in a fractional-diffusion oregonator model under PD control
Nonlinear AnalysisIn this paper, fractional-order diffusion and proportional-derivative (PD) control are introduced in oregonator model, and the Turing pattern dynamics is investigated for the first time.
Hongliang Li +4 more
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Feedback Control and Parameter Invasion for a Discrete Competitive Lotka–Volterra System
Discrete Dynamics in Nature and Society, 2018 State feedback is used to stabilize the Turing instability at the unstable equilibrium point of a discrete competitive Lotka–Volterra system. In addition, a regularization method is applied to parameter inversion for the given Turing system and numerical
Li Xu +3 more
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Cell polarisation in a bulk-surface model can be driven by both classic and non-classic Turing instability. [PDF]
NPJ Syst Biol Appl, 2021 Borgqvist J +5 more
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Turing Instability and Pattern Formation for the Lengyel-Epstein System with Nonlinear Diffusion
, 2014 In this work we study the effect of density dependent nonlinear diffusion on pattern formation in the Lengyel–Epstein system. Via the linear stability analysis we determine both the Turing and the Hopf instability boundaries and we show how nonlinear ...
LOMBARDO, Maria Carmela +2 more
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Dynamics of a Diffusive Predator-Prey Model with Allee Effect on Predator
Discrete Dynamics in Nature and Society, 2013 The reaction-diffusion Holling-Tanner prey-predator model considering the Allee effect on predator, under zero-flux boundary conditions, is discussed. Some properties of the solutions, such as dissipation and persistence, are obtained.
Xiaoqin Wang, Yongli Cai, Huihai Ma
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